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Finding the Fourth Proportional to 2,587.13, 3,878.40 and 943.37

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Solution

The fourth proportional to 2,587.13, 3,878.40 and 943.37 is: 1,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.13 : 3,878.40 = 943.37 : x
  2. Step 2: Convert to fraction form
    2,587.13/3,878.40 = 943.37/x
  3. Step 3: Cross multiply
    2,587.13x = 3,878.40 × 943.37
  4. Step 4: Simplify right side
    2,587.13x = 3,658,761.49
  5. Step 5: Solve for x
    x = 3,658,761.49/2,587.13
  6. Step 6: Final answer
    x = 1,414.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.